Discontinuous Galerkin method for numerical simulation of dynamic processes in solids

The aim of this paper is applying of Discontinuous Galerkin Method to deformation and destruction problems of elastoplastic bodies as well as to hydroelastic problems. Two-sided crack model for destruction, Prandtl–Reuss elastoplastic model, dynamic contact of bodies, wave propagation through coupled elastic-acoustic media for marine seismology, comparison of reflected waves in fluid-filled and infinite thin crack models and underwater objects detection are described. Method was implemented for HPC infrastructure.